1.) Convert the rectangular equationx^2 + y^2 - 2ax = 0to its polar equivalent.

My answer isr = sqrt(2ax)

Not confident that one's right.

2.) Convert the rectangular equationxy = 4to its polar equivalent.

My answer is(r^2)sin(theta)cos(theta) = 4

Not sure if that's a complete answer.

3.) Convert the rectangular equation(x^2 + y^2)^2 - 9(x^2 + y^2)to its polar equivalent.

My answer:r = 0

The way I got that answer seemed waaaay too easy.

4.) Convert polar equationr = cot(theta)csc(theta)to its rectangular equivalent.

My answer isx = y^2

I'm pretty confident about that one.

Please look over what I've done and let me know if any of my answers are wrong. If one is wrong, please explain how to reach the correct answer.

Thank you in advance!